find the Laplace transform by the method of the unit step function. f(t)={(t , 0\leq t <1),(1 , t\geq 1):}

Sinead Mcgee 2021-09-05 Answered

find the Laplace transform by the method of the unit step function
(t)={t0t<11t1

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Expert Answer

dessinemoie
Answered 2021-09-06 Author has 90 answers

Step 1
The given function,
(t)={t0t<11t1
Step 2
Obtain Lf(t) as follows.
F(s)=0est(f(t))
=01est(t)dt+1est(1)dt
=seses+1s2+ess
=s2esses+s+s2ess3
=ses+ss3
=es+1s2
Thus , the Laplace transform by the method of the unit step function.

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